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Plot the Rotated Figure

Plot the Rotated Figure
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2018-02-16 02:03
Coordinate GeometryTransformationGeometric Construction
This example demonstrates how to use GeoGebra to plot a rotated figure. The core mathematical concept is rotation transformation. The commands used in the construction summary include Polygon, Join, Point, Segment, Circle, Rotate, Ray, Angle, etc. Suitable for students at junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon((10.5, 9), (25, 9), (25, -10), (10.5, -10)) → RightBox, j, k, l, m
  2. Polygon((-12, 7.4), (25, 7.4), (25, 15), (-12, 15)) → TopBox, f, g, h, i
  3. Join({Sequence[Sequence[(i, j), i, -10, 10, 1], j, -10, 10, 1], {(15, 6.5), (17, 6.5), (19, 6.5)}}) → GridSpace
  4. Point(GridSpace) → A1
  5. Point(GridSpace) → B1
  6. Polygon((14, 7.2), (14, 5.8), (20, 5.8), (20, 7.2)) → PointsBox, n, p, q, r
  7. Point(GridSpace) → C1
  8. Polygon(A, B, C) → ABC, c, a, b
  9. Polygon(A1, B1, C1) → ABC1, c1, a1, b1
  10. Polygon(Acorr, Bcorr, Ccorr) → ABCcorr, ccorr, acorr, bcorr
  11. Segment((0, 7.3), (0, -8)) → yaxis
  12. Circle((0, 0), 7) → Circ1
  13. Point(Circ1) → RotPt
  14. Rotate(RotPt, (angledisp * π / 180)) → RotPtb
  15. Ray(O, RotPt) → s
  16. Ray(O, RotPtb) → t
  17. Angle(RotPt, O, RotPtb) → HelpAngle

AI Drawing Prompt Reference

Draw a grid and select three points A, B, and C on it to form triangle ABC. Then, choose two points A1 and B1 on the y-axis to form another triangle ABC1. Finally, select a point on a circle as the rotation center and rotate it by a certain angle to form a new triangle ABCcorr.
The prompt above was compiled from the original drawing commands and is for reference only.